hair clip vs hair clamp

hair clip and hair clamp both are nouns.

Word	Noun	Adjective	Verb	Adverb
hair clip	Yes	No	No	No
hair clamp	Yes	No	No	No

As nouns, hair clamp is a hyponym of hair clip; that is, hair clamp is a word with a more specific, narrower meaning than hair clip:

hair clip: any of various clasps and clips used for holding hair in place.
hair clamp: a type of hair clip with interlocking teeth connected by a spring

Other hyponyms of hair clip include hair slide, claw clip, hair claw.

hair clip (noun)	hair clamp (noun)
any of various clasps and clips used for holding hair in place.	a type of hair clip with interlocking teeth connected by a spring